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Supplement means the two angles add to 180°. So that's one equation, and the other equation is that one angle is 20° than the other.

  • Let A & B be the angles.
  • A + B = 180
  • A - B = 20

Add the two equations: 2A = 200, so A = 100, and then substitute in to get B = 80. So the angle 100° is 20° greater than its supplement.

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Q: What angle measure would be 20 more than its supplement?
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An angle is 30 more than its supplement what is the measure of the angle and its supplement?

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